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Finding the Fourth Proportional to 4,160, 6,235.14 and 2,310.24

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Solution

The fourth proportional to 4,160, 6,235.14 and 2,310.24 is: 3,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 6,235.14 = 2,310.24 : x
  2. Step 2: Convert to fraction form
    4,160/6,235.14 = 2,310.24/x
  3. Step 3: Cross multiply
    4,160x = 6,235.14 × 2,310.24
  4. Step 4: Simplify right side
    4,160x = 14,404,669.83
  5. Step 5: Solve for x
    x = 14,404,669.83/4,160
  6. Step 6: Final answer
    x = 3,462.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.